All categories

2 years ago

Can someone help me in question #5 please

Mathematics

1 answer:

Tamiku [17]2 years ago

6 0

Answer:

62 degrees

Step-by-step explanation:

Since lines i and k are parallel, angle b and h are interior angles and are equal to each other. Set up the equation by setting the two equal to each other.

8x-34=5x+2

Subtract 5x from both sides. (it cancels on the right side)

3x-34=2

Add 34 to both sides. (cancels on the left side)

3x=36

Divide both sides by 3.

x=12

Now plug it into either equation since they are equal. I'm gonna use the one for angle h so that it's less confusing.

5(12)+2

60+2

The measure of angle h is 62 degrees.

You might be interested in

Write as a decimal 3 hundreds and 109 hundredths

8090 [49]

<span>300.0109
I hope this helps
300=3 hundreds

.0109= 109 hundredths</span>

6 0

2 years ago

1. Solve for x: x/12 + 15 = 648

Vesnalui [34]

Answer:

1. x = 7596

2. x = -6.25

3. x = 8.5

hope this helps:)

6 0

2 years ago

Inverse for f(x)=1/2x+3

Semenov [28]

Answer: $f^{-1}(x)=2x-6$

Step-by-step explanation:

To find the inverse, we want to switch the y with x and x with y. Once we do that, we solve for y.

$y=\frac{1}{2}x+3$ [switch x and y]

$x=\frac{1}{2}y+3$ [subtract both sides by 3]

$x-3=\frac{1}{2} y$ [multiply both sides by 2]

$y=2x-6$

Now, we know that $f^{-1}(x)=2x-6$ .

3 0

2 years ago

Read 2 more answers

Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600

melisa1 [442]

Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

Initial bacteria = 2600

After two and a half hours,

Number of bacteria = 2873

We need to find the continuous growth rate per hour.

As we know the equation for continuous growth rate per hour.

$y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%$

Hence, there is 3.994% continuous growth rate per hour.

3 0

3 years ago

Solve the inequality:<br><br> 2x + 3 > -11

Kruka [31]

Answer:

x > − 7

Step-by-step explanation:

hope this helps

7 0

2 years ago